What is the answer to x/5 =(x+2)/9 ?

The answer to x/5 =(x+2)/9 is x= 5/2

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x/5 =(x+2)/9

\frac{x}{5} = \frac{x + 2}{9}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{x}{5} = \frac{x + 2}{9}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

x \cdot 9 = 5 (x + 2)

Expand

5 (x + 2) : 5 x + 10

x \cdot 9 = 5 x + 10

Move

5 x

to the left side

4 x = 10

Divide both sides by

4

x = \frac{5}{2}

6 x - 3 x + 10 = 16

3 x + 2 = 8 - 6 x

(x + 3)^{2} = x^{2}

1.4 (h - (- 3)) = 9.8

- 7 (1 - 4 x) = 13 (2 x - 3)